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    IψDڶ֧ѪҺѭhϵyģеđо

 ע⣺ՓڡtW̌W20006181l
ʹՈעՓij̎

1  ܊2 ֺ3

1. BW WԺ| B 116024

2. BW Cеϵ| B 116024

3. BtԺ| B 116033

 

ժҪùIψDһN֧ѪҺѭhϵyӋCģѪҺѭhϵyѪW׃׃ҎɵĠBԓģ^鼚µؿ̮ѪҺѭhϵyγ^wѪҺѭhϵyӋCģģͿģMѪҺѭhϵyͲóѪ܄W攵ͲMѪҺѭhϵyͲtWоṩµоֶ
PI~ѪҺѭhϵyӋC桡IψD
̖
TH 1371

0 

IψDһNϵyWģԈDηʾϵyӑBYnjwϵyMЄӑBַrЧĽģͨ^еоIψD^õؑwϵy؄ewѭhϵyĽģַ͔[10]

          ҂ǰĹһѪҺѭhϵyģ[10]C˹IψDĿԺЧIψDģăcֱ^ګ@àBgڔֵӋģMƌByc ČѪҺѭhϵyM^ºȫĄһ}ϵyo}ϵyKҺķԼ}ѭhѭhĶ֧ѪҺѭhϵyģ

ùIψDѪҺѭhϵyMнģͷĻҎt(1)ѪҺѭhϵyĽYҪӑBӰԈDʾģʽIψDԱʾ(2)ĹIψDlϵyĄӑBWģ͡Bg(3)ڔӋCόBM

 

1  ֧ѪҺѭhϵyģ͵Ľ

 

1.1 ϵy

ѪҺѭhϵyģDʾ[4]ѪѭhϵyѪҺKáMеѭhԿһNݔDQ^ѪҺйɵտswĸаwѭh^ѪҺҽ}}ѭh^ǻo}صķѭh^ѪҺ΄}ͷo}ķѭhi^ѭhԼ}ѭhķҺ}֮gֹѪҺĤ}

 

 

  


 
D1ѪҺѭhϵyģ

 

1.2  IψDģ

ùIψDģĵһnjԭϵy_鹦IψDĈDʾģIψDɹIYcԪҪԪؘ֧ѪҺѭhϵyĹIψDD2ʾ

 

 Rnv     Chv     Rhh     Cha      Rna

D֧ѪҺѭhϵyIψDģ
(ˈDʡ)

 

    D2Lƶ֧ѪҺѭhϵyIψDIJEɺ£

    (1)֧ѭhϵy̷֧ķδ_0Yc1Yc

    Ycʾǻǻ}ǻ0Yc̎ѪҺֵԓYcݔѪݔѪYcʾ·й·}Ѫ1Yc̎ѪֵԓYcĉֵpȥֵڈD2 ѭhϵyģй150Yc211Yc

    (2)ϸYc܇ĹIע

    Iǎм^ʾʵľģИɹʵăɂ׃ѪѪ^ʾϵyԪеĹѭhѪҺӷ

    (3)ڹIһ˘עCRLԪ

܉ȫµؿ̮ϵyģБNԪ

    ݷӳѪܵ협ڣYcCʾQCԪD2 еCtaCarCvnCpaCpvǷքeʾcD1ֵ}}ǻo}΄}ͷo}협Ե

    зӳѪđT1YcLʾQLԪD2еLtaLarLvnLpaLpvLcoǷքeʾ}}ǻo}΄}o}ڠ}ѪTԵ

    跴ӳѪճQRԪڣYcD2RtaRarRvnRpaRpvRcoǷքeʾ}}ǻo}΄}o}ڠ}ѪճԪ

    (4)ڸIϘעԱڽϵyĔWģ

    IϵʾԪc׃֮gPϵ_׃׃ڽϵyĠBCԪ书Iσɂ׃g׃׃ljLԪRԪ书Iσɂ׃g׃׃

 

    ^ϲEѭhϵyĹIψDģ?J?IψDģ;ͨ^YcIԪ@ЩԪ،Ѫѭhϵyֱ^ͷӳڌѭhϵygIψDģͺͿԷЗlɵƌϵyWģ

 

2  ϵyWģ

    IψDģĵڶƌϵyĔWģƌϵyӑB^̵ĔWģ͡B̕rҪ_B׃IψDģķ֮̎ڌB׃Ĵ_һ֮Ҏѭ̶ķt

    ϵyĠBһA΢ַ̽M׃gЌPϵIψDֻCLԪеăɂ׃gЌePϵԑCԪLԪԵ׃gȡһ׃B׃

    CԪ׃׃鉺Pϵ飺

         (1)

    LԪ׃鉺׃Pϵ飺

                                               (2)

    RԪ͉֮gPϵУ

                                                     (3)

    ҎtȡCԪIϵĉ׃pLԪIϵ׃Q,B׃һAB

    0Yc(1)ʽ߅ȡɵã

                             (4)

 ǵi0Yc̎ĉ ݔѪ ݔѪ ǵi0Yc̎

    1Yc(2)ʽ(3)ʽɵã

                         (5)

 ǵiYc̎Ѫ   քeǵiYc̎

ÿ0c1Yc(4)(5)PϵʽtԵõϵyĔWģģ͵ĔWģ36AĠBgģ36һA΢ַ̽Mг}ѭhֵĠḄ

                                      (6)

                                               (7)

                                                          (8)

                                  (9)

                                (10)

    (11)

 

    CtaCaaCarքe}}܄}LtaLaaLarLvnքe}}܄}ǻo}RtaRaaRsaRpcRsvǷքeʾ}}܄}ѭhǻo}ptaopaaopsarQtaoQaaoQsarքeDŽ}ѭhе}}܄}ֵĉ

ѪҺѭhK揈տsƄӵIJҕr׃ ʾ@N揈տs Ǖrgں

    ѭhϵyеĤģ͵ļsl뵽ϵyWģͮУѪҺӕrĤһ^СĔֵѪҺӕrĤoFֹѪҺ

ģеЅīI[4]

 

3  ӋC

IJãALRungeKuttaģ͵ĠBO沽L0.0001sڱv586 PCCMДַ

    ߅slOøB׃ʼ֮B׃ԠB̞Aͬչ_ÿһѪҺѭhϵyֵĉֵḆքeӋ攵׃ϵyݔ̿ԵõÿĄڃϵyֵѪpѪQѪҺVԼݔCOѪ֔EFȸ텢ֵĶԌMӋCMlº͸ѪѪ܄ԵIJlµԷ

 

3.1 B

  OB׃ijʼֵ[4,5]ϵyģMӋɵõlѪҺѭhϵyѪWķ攵

    DoBrĄڣÿĄڞ0.8룩ȵ҉}Ѫķ沨Ήķ沨ĉ沨ΈDпԿ҉}ÿĄڃȵĉ}ʮ@DǷ΄}Ѫͷo}Ѫķ沨΄}ĉ}Ҳ^@ڷo}ѪҺĉ}ӾͲ@

 
D
3 Һ}ĉ׃

 

140                               
01.6
t/s
(a)
ѪҺ׃ 

140                               
01.6
t/s
 (b)ѪҺ׃  


D
4 ΄}ͷo}ĉ׃

                                                                                                                     

    ڱ1нoѪҺѭhϵyҪѪW׃Brlµķ攵ֵWҎɿ֪ տsһ17~18 kPa}12~17 kPa΄}2 kPaòκ͔cHҎ

    1߀ouKܵăɂõָˣݔCOѪ֔EFõĔ飺ݔ5256 ml/minѪ֔61%όHҎ 

             

                            1 ѪҺѭhϵyҪѪW׃ӋC攵ֵ             

 

  Ŀ

҉

ֵ

LVPP

(kPa)

}

AP

 

(kPa)

ĩݷe

LVEDV

(ml)

ķ

RAP

 

(kPa)

΄}

PAP

 

(kPa)

ĩݷe

RVEDV

(ml)

CF

(ml/min)

ݔ

CO

 

(ml/min)

Ѫ֔

EF

 

%

17.96

16.82

123

0.6

2.13

130

228

5256

61

Ѫ

21.28

18.63

126

0.6

2.26

130

230

4989

54

Ѫ܄

19.29

17.10

124

0.6

2.13

130

229

5010

58

3.2 Ѫ

    ڄ}܏խsDŽ}ԭ?ƈѪܵe?ʹKտs}ѪrMĹĶѪYڱIψDģе}܄}RtaRaaRarĔֵԌFѪķ

    1нo˸ѪrѪW׃ķ攵ķ攵пԿ҉}քe_21.28 kPa18.63 kPaѪֵ@ݔ4989 ml/minѪ֔54%ĔֵsB@@ѪrKĹڜp

 

3.3 Ѫ܄Է 

    Ѫ협Եĵ1/CQѪ܄Ѫ܄ԽѪ협ԄtʹѪ迹҇䉺̈́}ѪݔѪ֔ڱ}cѪܵCtaCaaCarքeֵ50%ģMѪ협Խ͕r

    1o˸ѪW׃ӋC攵ֵķ攵пԿ҉19.29 kPa}17.10 kPaƫݔ5010 ml/minѪ֔58%ĔֵֵόHҎ

 

4  ӑ  Փ

һ֧ѪҺѭhϵyIψDģIψDģBgӋCAѪ܄WԓģM˻挍

    IψDģwѭhϵyķо܉^õ̎ѭhϵyеĽģ}؄eǏĹIψDԺܷƌBgĶ_ϵyĄӑB@һc؄etWоˆTƏVӋC漼g@Nõоֶͬr@Nģ͌ѭhϵyԵĿ̮Ҳ^ȫͼČYڲκͶcwzyĽYǺϵYRMӋCtWоṩһNµďоֶ

 

ġI

 [1] BAI Jing, YING K, JARON D.  Cardiovascular responses to external counterpulsation: a computer simulation[J]. Med&Biol Eng&Comput, 1992,30: 317-323.

[2] HARNKAZU Tsurnta, TOSHIRA Sato, MASUO Shiratake  Mathematical model of cardiovascular mechanics for diagnostic analgsis and treatment of heart failure: Part 1 model description and theoretical analysis[J]. Med&Biol Eng&Comput, 1994,32: 3-11.

[3] ENGVALL J,KARISSION M, ASK P. Importance of collateral vessels in aortic coarctation : computer simulation at rest and exercise using transmission line elements[J] Med&Biol Eng&Comput, 1994,32: S115-S122.

[4] GOLDSTEIN Y, BEYAR R, SIDEMAN S. Influnce of pleural pressure variation on cardiovascular system dynamics: a model study[J] Med&Biol Eng&Comput, 1988,26: 251-259.

[5] BEYAR R, KISHON Y, SIDEMAN S, DINNAR U. Computer studies of systemic and reginal blood flow mechanisms during cardiopulmonary resuscitation[J] Med&Biol Eng&Comput, 1984,22: 499-506.

[6] BEYAR R, SIDEMAN S, DINNAR U. Cardioac assist by intrathoracic and abdominal pressure variations: a mathematical study[J] Med&Biol Eng&Comput, 1984,22:507-515.

[7] sѪW[M]l1987. 10-76.

[8] ZD C_ɭR C. ϵyWIψD[M]CеI1985. 127-158.

[9] ܺ܊ҺϵyӑBԔַ[M]BBW1993. 20-148.

[10] T܊܊. IψDѪҺѭhϵyӋCеđ[J]. BWW1999, 39(3): 429-433.

 

 

Study of Modeling and Simulation of the Multi-branch Blood System

FENG Yu-jun1 , TIAN Shu-jun2 , LIN Hai-long3

                    1. School of Manage., Dalian Univ. of Technol., Dalian 116024, P. R. China;

                    2. Dep. of Mech. Eng., Dalian Univ. of Technol. Dalian 116024, P. R. China;

                    3. Dalian Cent. Hosp., Dalian 116033, P. R. China 

             

Abstract : By the Power Band Graph (PBG) method, a computer simulation model of the multi-branch blood circulation system is presented, which describes the blood fluid dynamic law in the blood system by the state equation. a minute description is gived by the modelon physiological characters of blood circulation system (BCS). An integrated computer model on BCS has been established. The model can simulate physiological characters of blood circulation system, and get the simulation data and curves of BCS hemodynamics varibles.  the model can be used widely in the field of physiological system simulation study, the medical study and medical aid education.
Key words
: Blood Circulation System ,  Computer Simulation  , Power Band Graph Method

 

 


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